Browse Classroom Capsules and Notes

You can filter the list below by selecting a subject category from the drop-down list below, for example by selecting 'One-Variable Calculus'. Then click the 'APPLY' button directly, or select a subcategory to further refine your results.

Displaying 31 - 40 of 70

Filter by subject

The Prisoner's Dilemma

\(N\) white balls and \(N\) black balls, identical in shape, are distributed into two identical bags. One bag is picked at random and one ball is drawn at random. How should the balls be...

Interchanging Parameters of the Hypergeometric Distribution

A probabilistic explanation of a property of the hypergeometric distribution

Compounding Evidence from Multiple DNA-Tests

Conditional probability applied to OJ Simpson trial

When Can One Load a Set of Dice so That the Sum Is Uniformly Distributed?

This article explores how to load dice so that all possible sums are equally likely.

Euler Convergence: Probabilistic Considerations

The authors show, using probabilistic methods, that convergence implies Euler convergence, but not conversely.

Unexpected Occurrences of the Number \(e\)

The authors describe the Hat Check and several other problems leading naturally to the number \(e\).

Whiskey, Marbles, and Potholes

A natural generalization of probability trees and hypergeomeric distributions is used to solve problems anti-intuitive to some.